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Reply to @kenshirriff@oldbytes.space
Ken Shirriff@kenshirriff@oldbytes.space (2026-09-27 02:05:29)
For details on how the 8087 calculates tangents by using the CORDIC algorithm combined with polynomials, see my latest article:
https://www.righto.com/2026/09/8087-tangent-cordic.html
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Ken Shirriff@kenshirriff@oldbytes.space (2026-09-27 02:07:54)
Credits: I've been working on this with the members of the "Opcode Collective", especially Smartest Blob and  @gloriouscow, who used ML to convert ROM images to microcode data and extensively analyzed the contents. 
Photo of the CORDIC II computer from "The Birth of CORDIC", by Jack Volder, the creator of CORDIC: https://web.archive.org/web/20160304064804if_/http://late-dpedago.urv.cat/site_media/papers/fulltext_2.pdf